Two different 2-digit numbers are randomly chosen and multiplied together. What is the probability that the resulting product is even?

MathCuber
Aug 11, 2018

#1**+1 **

There are 90 2 digit numbers.....the total possible pairs = C(90,2)

An odd can only occur if we multiply any two odds together.....the number of possible pairs = C(45,2)

So....the probability of an even product is......

1 - probability of an odd product =

1 - C(45,2)/C(90,2) =

67/89 ≈ 75.3%

EDIT to correct a silly error pointed out by Guest...!!!!

CPhill
Aug 11, 2018